Question

Construct a rhombus $PQRS$ with $PQ=6cm$ and $PR=9cm$ and find its area

Answer 1

Given: $PQ=6cm$ and $PR=9cm$.
To construct a rhombus
Steps for construction
Step $1$ : Draw a rough diagram and mark the given measurements.
Step $2$ : Draw a line segment $PQ=6cm$.
Step $3$ : With $P$ and $Q$ as centres, draw arcs of radii $9cm$ and $6cm$ respectively and let them cut each other at $R$.
Step $4$ : Join $\overline{PR}$ and $\overline{QR}$.
Step $5$ : With $P$ and $R$ as centres draw arcs of radius $6cm$ and let them cut each other at $S$.
Step $6$ : Join $\overline{PS}$ and $\overline{RS}$.
$PQRS$ is constructed as required.
Step $7$ : Measure the length of $QS.QS=d_2=8cm.PR=d_1=9cm$.